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Since its initial discovery more than fifteen years ago, the thermodynamicalscaling of the dynamics of supercooled liquids has been used to provide manynew important insights in the physics of liquids, particularly on the linkbetween dynamics and intermolecular potential. A question that has long beendiscussed is whether the scaling exponent gamma is a constant or it depends onpressure. Here we offer a simple method to determine the pressure dependence ofgamma using only the pressure dependence of the glass transition and theequation of state. Using this new method we find that for the sixnon-associated liquids investigated gamma always decreases with increasingpressure. Importantly in all cases the value of gammaremains always larger than4. Liquids having gamma closer to 4 at low pressure show a smaller change ingamma with pressure. We argue that this result has very important consequencesfor the experimental determination of the functional form of the repulsive partof the potential in liquids.

On the pressure dependence of the thermodynamical scaling exponent gamma